Question

Directions (Q. 11
15): Study the following information carefully and answer the give
questions.
From a group of x sportsmen 50% participated in Olympic games, 53% participated in Asiad and 42%
participated in Commonwealth Games (CWG). Ten percent participated in Olympics and Asiad but not in
CWG, 14% participated in Olympics CWG but not in Asiad, and 5% participated in Aslad and CWG but
not in Olympic games. Based on the information given,
if the number of sports men who participated in exactly two events is 58, what is the number of persons who participated in all three events?
​

Answer 1

Given :-

• Total sportsmen = x .
• Participated in Olympic games = 50% .
• Participated in Asiad = 53% .
• Participated in Commonwealth Games (CWG) = 42% .
• Participated in Olympics and Asiad only = 10% .
• Participated in Olympics and CWG only = 14% .
• Participated in Aslad and CWG only = 5% .
• Number of sports men who participated in exactly two events = 58 .

To Find :-

• The number of persons who participated in all three events ?

Solution :-

from diagram we get,

→ Total sportsmen participated in exactly two events are = 10% + 5% + 14% = 29% .

and,

→ Total number of sports persons who participated in all three events = 8% .

then,

→ 29% ------------ 58

→ 1% -------------- (58/29)

→ 8% ------------ 2 * 8 = 16 (Ans.)

Hence, The number of sports persons who participated in all three events are 16 .

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